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Finding the Fourth Proportional to 6,494.39, 8,962.26 and 4,137.90

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Solution

The fourth proportional to 6,494.39, 8,962.26 and 4,137.90 is: 5,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.39 : 8,962.26 = 4,137.90 : x
  2. Step 2: Convert to fraction form
    6,494.39/8,962.26 = 4,137.90/x
  3. Step 3: Cross multiply
    6,494.39x = 8,962.26 × 4,137.90
  4. Step 4: Simplify right side
    6,494.39x = 37,084,935.65
  5. Step 5: Solve for x
    x = 37,084,935.65/6,494.39
  6. Step 6: Final answer
    x = 5,710.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.